Triangle practice problems - page 109 of 125
Number of problems found: 2492
- Calculate cylinder
In the rotating cylinder, it is given: V = 120 cm3, v = 4 cm. Calculate r, S mantle. - Diagonals of a prism
The base of the square prism is a rectangle with dimensions of 3 dm and 4 dm. The height of the prism is 1 m. Find out the angle between the body diagonal and the base's diagonal. - Reflector
The circular reflector throws a light cone with a vertex angle 56° and is on 24 m height tower. The axis of the light beam has the axis of the tower angle 11°. What is the maximum length of the illuminated horizontal plane? - Earth's circumference
Calculate the Earth's circumference of the parallel 48 degrees and 10 minutes. - Katy MO
Kate drew a triangle ABC. The middle of the line segment AB is marked as X, and the center of the side AC is marked as Y. On the side BC, she wants to find point Z so that the area of a 4gon AXZY is the greatest. What part of the ABC triangle can maximall - Calculate 30281
One angle of the skeleton is 30 degrees larger than the other. Calculate all its angles. - Four sides of trapezoid
The trapezoid is given by the length of four sides: 40.5, 42.5, 52.8 35.0. Calculate its area. - Regular quadrilateral pyramid
Find the volume and surface of a regular quadrilateral pyramid if the bottom edge is 45 cm long and the pyramid height is 7 cm. - Maximum area of rhombus
Calculate the interior angles at which the equilateral rhombus has a maximum area. - Angle of deviation
The surface of the rotating cone is 30 cm² (with a circle base), and its surface area is 20 cm². Calculate the deviation of this cone's side from the base's plane. - The cap
A rotating cone shapes a jester hat. Calculate how much paper is needed for the cap 53 cm high when the head circumference is 45 cm. - Pentagonal pyramid
The height of a regular pentagonal pyramid is as long as the edge of the base, 20 cm. Calculate the volume and surface area of the pyramid. - Hexagon 5
The distance of parallel sides of regular hexagons is 97 cm. Calculate the length of the radius of the circle described in this hexagon. - Prism
A right prism's length, width, and height are 17, 11, and 11, respectively. What is the length of the longest segment whose endpoints are vertices of the prism? - Inscribed 7018
The dragon has the shape of a regular hexagon inscribed in a circle with a radius of 20 cm. What is the area of the dragon? - Same area
There is a given triangle. Construct a square of the same area. - Calculate 66254
Calculate the volume and surface of a regular hexagonal prism with a height v = 2cm and a base edge a = 8cm. - Rectangle JANO
The rectangle has side lengths | JA | = 16cm and | AN | = 12cm. Point S is the center of the JO side, and point T is the center of the JA side. Calculate the perimeter of the pentagon in cm. - Medians in triangle
The median of the isosceles triangle is 3 cm long. If its perimeter is 16 cm, determine the size of its sides. - Elevation
What must be an observer's elevation so that he may see an object on the Earth 866 km away? Assume the Earth to be a smooth sphere with a radius 6378.1 km.
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